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Finding the Third Proportional to 272,878.50 and 574,030.50

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Solution

The third proportional to 272,878.50 and 574,030.50 is: 1,207,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,878.50 : 574,030.50 = 574,030.50 : x
  2. Step 2: Convert to fraction form
    272,878.50/574,030.50 = 574,030.50/x
  3. Step 3: Cross multiply
    272,878.50x = 574,030.50 × 574,030.50
  4. Step 4: Simplify right side
    272,878.50x = 329,511,014,930.25
  5. Step 5: Solve for x
    x = 329,511,014,930.25/272,878.50
  6. Step 6: Final answer
    x = 1,207,537.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.